搜索结果: 61-73 共查到“知识库 线性算子理论”相关记录73条 . 查询时间(4.211 秒)
Effective construction of a class of positive operators in Hilbert space, which do not admit triangular factorization
Triangular operators nest algebra multiplicity 1 hyperin-transitive operator
2010/12/2
A class of non-factorable positive operators is constructed. As a result,pure existence theorems in the well-known problems by Ringrose,Kadison and Singer are substituted by concrete examples.
具有负指数的Furuta型不等式的推广
正算子 Furta型不等式 保序不等
2009/10/21
该文首先证明了具有负指数的Furta型不等式等价于Tanahashi的不等式,其次证明了该不等式可以推广为一个保序不等式.
线性算子的摄动定理
半Fredholm算子 谱 Fredholm算子
2009/10/21
该文利用Mbekhta M于1987年引入的两个子空间来研究线性算子的摄动. 证明了如下结论:设X=K(T)+W, 其中K(T), W均闭, dim[K(T)∩N(T)]< ∞. 若TWW, TW闭, 且存在闭子空间N, 使W=[W∩N(T)]N, 则: 当S∈B(X)可逆, ST= TS, SWW, 且‖S‖充分小时, T-S为上半Fredholm算子. 在上条件下, 若dimN<∞,...
About a Class of Linear Positive Operators Obtained by Choosing the Nodes
Linear positive operators convergence theorem the first order modulus of smoothness approximation theorem
2010/1/25
In this paper we consider the given linear positive operators and with their help, we construct linear positive operators . We study the convergence, the evaluation for the rate of convergence in t...
A Surprising Result in Comparing Orthogonal and Nonorthogonal Linear Experiments
Linear experiment orthogonal/nonorthogonal experiment single parameters comparison of experiments
2010/1/25
We demonstrate by example that within nonorthogonal linear experiments, a useful condition derived for comparing of the orthogonal ones not only fails but it may also lead to the reverse order.
关于Hilbert空间中部分等距算子的一点注记(英文)
Hilbert空间 部分等距 半等价 酉等价
2008/12/31
引进Hilbert空间中部分等距算子的半等价关系,证明了在任意的无限维Hilbert空间中,存在两个部分等距算子,它们为半等价,但不为酉等价
算子值条件自由随机变量
算子值非交换概率空间 条件自由 加法卷积
2008/8/12
本文把R.Speicher的条件自由的概念推广到算子值非交换概率空间中,并利用累积函数给出一个等价定义,进而很容易地得到满足条件自由的随机变量的Voiculescu加法卷积公式.
算子偏序的刻画及性质
算子分块矩阵 算子偏序 特殊算子
2008/8/12
本文定义了Hilbert空间上两个算子间的四种关系:星序、左星序、右星序及减序, 使用了算子分块矩阵的方法, 给出了两个算子具有上述四种关系之一时它们几何结构的刻画, 证明了这四种关系是真正的偏序关系, 进一步研究了它们之间的关系和性质.
正交射影在广义框架理论中的应用
广义框架 对偶广义框架 强非交 正交射影
2008/6/30
本文研究了可分的Hilbert空间$H$中的广义框架,运用算子理论方法,研究了可分的Hilbert空间$H$中广义框架的性质,给出了广义框架的对偶广义框架的一些刻画,并且证明了两个广义框架是强非交的一个充分必要条件.
A Remark on Boundedness of Calderon-Zygmund Operators in Non-Homogeneous Spaces
Calder\'on--Zygmund operator Hardy space $L^{1 \ \infty}(\mu)$ Non-doubling measure
2007/12/11
Let $\mu$ be a Radon measure on $\rd$ which may be non-doubling. The only condition satisfied by $\mu$ is that $\mu(B(x,r))\le Cr^n$ for all $x\in\rd$, $r>0$ and some fixed $0
非线性算子方程的变号解及其应用
不动点指数 变号解 锥 三点边值问题
2010/3/31
利用锥理论讨论了非线性算子方程变号解的存在性,所得结果在理论上推广了相关文献的结论. 作为应用,考虑了二阶三点边值问题, 得到了新的结论.
Some Maximal Operators related to Singular Integral Operators
Maximal operator Singular Integral Littlewood-Paley Theory Lp boundedness
2018/4/20
In this paper, we shall study Lpboundedness of two kinds of maximal operators related to some families of singular integrals.